NumericalHard4 marks
Solve the following inequation and represent the solution set on a number line.
Topic: Linear inequations
Previous-year question practice database
Answer
Solution diagram
Exam answer
−8½ < −½ − 4x ≤ 7½, x ∈ Z.
Left inequality: −8½ < −½ − 4x −8 < −4x x < 2.
Right inequality: −½ − 4x ≤ 7½ −4x ≤ 8 x ≥ −2.
Therefore: −2 ≤ x < 2.
Since x ∈ Z:
Answer: {−2, −1, 0, 1}.
Explanation
Solve the two inequalities separately. Reverse the sign when dividing by the negative coefficient −4.
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